Geodesic
On sharp traces of some new analytic Herz-type spaces in Siegel domains in~$\mathbb{C}^n$
Problemy fiziki, matematiki i tehniki, no. 4 (2015), pp. 87-95

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We provide complete characterizations of traces of some new analytic spaces of Herz-type in polydisk, unit ball and tubular domains over symmetric cones and bounded pseudoconvex domains with smooth boundary under additional natural condition on kernel. Our results extend previously known assertions.
Keywords: analytic functions, Herz-type spaces, polydisk, tubular domains
Mots-clés : pseudoconvex domains. 
@article{PFMT_2015_4_a15,
     author = {R. F. Shamoyan and O. A. Zaytseva},
     title = {On sharp traces of some new analytic {Herz-type} spaces in {Siegel} domains in~$\mathbb{C}^n$},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {87--95},
     publisher = {mathdoc},
     number = {4},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2015_4_a15/}
}
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R. F. Shamoyan; O. A. Zaytseva. On sharp traces of some new analytic Herz-type spaces in Siegel domains in~$\mathbb{C}^n$. Problemy fiziki, matematiki i tehniki, no. 4 (2015), pp. 87-95. http://geodesic.mathdoc.fr/item/PFMT_2015_4_a15/